Cook the tortellini. Cook the tortellini according to package directions in a large stockpot of generously-salted boiling water. Drain the tortellini in a strainer, then rinse with cold water until the pasta has cooled.
Make the vinaigrette. Whisk all ingredients together in a small bowl (or shake together in a mason jar) until combined.
Mix everything together. In a large mixing bowl, add the tortellini ingredients and vinaigrette. Toss until evenly combined.
Serve. Serve immediately, garnished with extra Parmesan cheese. Or transfer to a food storage container and refrigerate for up to 3 days.